There are chickens and pigs in a farm yard? There are 68 feet and 23 tails in the farm yard. How many chickens and how many pigs does grandma have?
Answers
Now, the equation would be,
Answer:
12 chickens and 11 pigs
Step-by-step explanation:
We know that...
Chickens have 2 feet and 1 tail.
Pigs have 4 feet and 1 tail.
Let c represent chickens.
Let p represent pigs.
We need to create two equations. One for feet, and one for tails.
Tails:
Because each animal has 1 tail, we can say that the number of pigs, (p) plus the number of chickens, (c) must equal 23. So...
c + p = 23
Feet:
Because each chicken has two feet, and each pig has 4 feet, we can say that 2 times the number of chickens, (c) plus 4 times the number of pigs, (p) needs to equal 68. So...
2c + 4p = 68
Now we have two equations.
2c + 4p = 68
and
c + p = 23
We can use the substitution method to find c and p. The substitution method involves solving for one of the variables with one of the equations, then placing it into the other equation, so that you only have one variable to solve for, which you can do with simple algebra.
Solve for c
c + p = 23
c = 23 - p
Add that to the other equation.
2c + 4p = 68
2(23 - p) + 4p = 68
Solve for p
46 - 2p + 4p = 68
46 + 2p = 68
2p = 22
p = 11
Now that we know p, we can plug that into one of the equations to find c.
c + p = 23
c + (11) = 23
c = 12
Now we have c and p.
There are 12 chickens and 11 pigs on the farm.
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Answers
B. A rectangle has a length of 6 centimeters.
C. For every 2 red candies in a bag, there are 3 green candies.
D. A printing shop offers a 25% discount off the cost of making copies.
Answers
Answer:
C. For every 2 red candies in a bag, there are 3 green candies.
Step-by-step explanation:
Ratios are comparing two things in an order so having 2 red and 3 green would then move to 4 red and 6 green and so on.
Answer:
c is for cool, cause that what you are ;)
Step-by-step explanation:
Answers
See the attached picture:
Answers
The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible thus options (A) and (B) is correct.
How to form an equation?
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Hardcover books cost $5 each and paperbacks cost $2 each.
The number of hardcover books is x while paperbacks are y
Thus,
Total cost = 5x + 2y
5x + 2y ≤ 20
The x and y is the whole number so they will never be negative or in fractions.
Therefore, The pair which satisfies the above expression is (2,5) and (0,10).
Hence "The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible".
For more about the equation,
#SPJ5
Answer:
(0,10)
Step-by-step explanation:
All of the other answers dont make sense or are false so it makes (0,10) the only correct answer.
Answers
(3x^2 + 9x) / ( x^2 - 2x - 15) = (3x * (x + 3)) / ((x - 5) * (x + 3)) = 3x / (x - 5)
The simplified form is 3x / (x - 5) and the restriction for the variable would be x ≠ 5 and x ≠ -3.
Factor both polynomials
(3x)(x+3) / (x-5)(x+3) = 3x/(x+5)
The simplified form is 3x/(x+5)
The restriction for the variable is x ≠ -3 (this is because you can only simplify the factor x-3 if its value is not zero).